peace vs quietness

peace and quietness both are nouns.

Word	Noun	Adjective	Verb	Adverb
peace	Yes	No	No	No
quietness	Yes	No	No	No

As nouns, quietness is a hypernym of peace; that is, quietness is a word with a broader meaning than peace:

Other hypernyms of peace include quietude, tranquility, tranquillity.

peace (noun)	quietness (noun)
a treaty to cease hostilities	the property of making no sound
the absence of mental stress or anxiety	a state of peace and quiet
the state prevailing during the absence of war
harmonious relations; freedom from disputes
the general security of public places